The essential norm of bounded diagonal infinite matrices acting on Banach sequence spaces

被引：0
|
作者：
Fernandez, Julio C. Ramos [2 ]
Rivera-Sarmiento, Maria A. [3 ]
Salas-Brown, Margot [1 ]
机构：
[1] Univ Sergio Arboleda, Programa Matemat, Escuela Ciencias Exactas & Ingn, Bogota, Colombia
[2] Univ Distrital Francisco Jose Caldas, Fac Ciencias Matemat & Nat, Bogota, Colombia
[3] Pontificia Univ Javeriana, Dept Matemat, Bogota, Colombia
来源：
DEMONSTRATIO MATHEMATICA | 2024年 / 57卷 / 01期
关键词：
diagonal operators; Banach sequence spaces; compact operators; essential norm; MULTIPLICATION OPERATORS;
D O I：
10.1515/dema-2023-0263
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We calculate the essential norm of bounded diagonal infinite matrices acting on Kothe sequence spaces. As a consequence of our result, we obtain a recent criteria for the compactness of multiplication operator acting on Kothe sequence spaces.
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页数：8
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